{
  "annotation_id": "abb2ffee-548f-4990-ba07-53d02712d3ce",
  "date_created": "2026-03-02T18:00:57.231000Z",
  "date_modified": "2026-03-02T18:00:57.231000Z",
  "file_hash": "ecf8770aa4d2412b379d0a8a8c4e83bcafaecf09cce3fd0f1663e1d1738ad865",
  "private": false,
  "record": {
    "abstract": "Flow instability and turbulent transition can be well explained using a new\nproposed theory--Energy gradient theory [1]. In this theory, the stability of a\nflow depends on the relative magnitude of energy gradient in streamwise\ndirection and that in transverse direction, if there is no work input. In this\nnote, it is shown based on the energy gradient theory that inviscid non-uniform\nflow is unstable if the energy in transverse direction is not constant. This\nnew finding breaks the classical linear theory from Rayleigh that inviscid flow\nis unstable if the velocity profile has an inflection point in parallel flows\nand inviscid flow is stable if the velocity profile has no inflection point in\nparallel flow. Then, stability of rotating viscous and inviscid flows is\nstudied, and two examples of rotating flows (rotating rigid body motion and\nfree vortex motion) are shown, respectively.",
    "arxiv_id": "physics/0503083",
    "authors": [
      "Hua-Shu Dou"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.class-ph"
    ],
    "title": "Stability of Rotating Viscous and Inviscid flows",
    "url": "https://arxiv.org/abs/physics/0503083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f122a71-e454-4ae2-b697-a8eee5eaf91c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}